{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 大数据基础 - 上机实验\n",
    "\n",
    "### Course ID: UG_BGD_2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下方填写姓名和学号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Student_name = \"\"\n",
    "Student_id = \"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在`YOUR CODE HERE`及 \"YOUR ANSWER HERE\" 标注的位置补全代码。  \n",
    "作业提交后由程序自动评分，提交前应执行“Validate”进行代码自检"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "作业提交操作教程（首次作业需观看）：[https://www.bilibili.com/video/BV1dH4y1X7QG](https://www.bilibili.com/video/BV1dH4y1X7QG)\n",
    "\n",
    "作业提交网站：http://quiz.zhangys.org.cn\n",
    "\n",
    "登陆用户名：学号  \n",
    "**初始登陆密码为空，首次登陆后必须更改密码（不能与学号相同），否则无法下载题目和提交作业**  \n",
    "**不要修改文件名，提交的作业文件必须与题目文件同名，否则将影响机判**  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "鼓励学习交流，严禁照搬抄袭。  \n",
    "Peer review is encouraged; plagiarism is PROHIBITED.  \n",
    "如发现雷同作业，则抄袭者和被抄袭者当次作业均判为0分。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 线性回归示例\n",
    "\n",
    "## 重点展示：梯度下降法(GD)；PyTorch实现机器学习的基本流程\n",
    "\n",
    "\n",
    "Training a Linear Regression Model in PyTorch, source: https://machinelearningmastery.com/training-a-linear-regression-model-in-pytorch/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will implement linear regression with one variable to predict the price of a house. Urban housing prices often change with the house's area. You have a dataset (hosue.csv).The first column of data is the house's area, and the second column is the house's price.\n",
    "\n",
    "城市房价往往随着房屋面积的变化而变化，你有一组数据（house.csv）。  \n",
    "数据第一列是城市的房屋面积（平方米），第二列是该城市房价（万元）。  \n",
    "本次练习你将使用单变量线性回归来预测一个房屋的价格。  \n",
    "\n",
    "仿照第三章的linear regression代码，完成GD训练线性回归的例子。\n",
    "\n",
    "#### 数据加载和绘制\n",
    "判断数据的趋势和特性，进而选择合适的数据分析方法和策略。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "e77425c1768c16e7f59df16212c4fc11",
     "grade": false,
     "grade_id": "cell-6b0028c520deb6dd",
     "locked": true,
     "schema_version": 3,
     "solution": false,
     "task": false
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "\n",
    "data=pd.read_csv(\"house.csv\")\n",
    "\n",
    "data.plot(kind='scatter', y='Price', x='Area')\n",
    "\n",
    "X = torch.tensor(data.iloc[:,0].values)\n",
    "Y = torch.tensor(data.iloc[:,-1].values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "deletable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "1aa6e69af5f842c7608b5fae63a57220",
     "grade": false,
     "grade_id": "cell-848a261da23f8e8d",
     "locked": false,
     "schema_version": 3,
     "solution": true,
     "task": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0, \t282995.245167, \t-8.469098091125488, \t-8.98955249786377\n",
      "1, \t255501.29018994904, \t-7.964655876159668, \t-8.979625701904297\n",
      "2, \t230679.600391948, \t-7.485354900360107, \t-8.970192909240723\n",
      "3, \t208270.45809502076, \t-7.029942035675049, \t-8.96122932434082\n",
      "4, \t188039.3708438759, \t-6.597226619720459, \t-8.952712059020996\n",
      "5, \t169774.6393554855, \t-6.18607759475708, \t-8.944618225097656\n",
      "6, \t153285.15033360693, \t-5.795420169830322, \t-8.936927795410156\n",
      "7, \t138398.3621545812, \t-5.4242329597473145, \t-8.929619789123535\n",
      "8, \t124958.49586144164, \t-5.071545124053955, \t-8.922675132751465\n",
      "9, \t112824.90254537441, \t-4.736435413360596, \t-8.916075706481934\n",
      "10, \t101870.64432202619, \t-4.418027400970459, \t-8.909805297851562\n",
      "11, \t91981.08492220646, \t-4.115488529205322, \t-8.903846740722656\n",
      "12, \t83052.73610229915, \t-3.8280279636383057, \t-8.898183822631836\n",
      "13, \t74992.17519107548, \t-3.55489444732666, \t-8.892803192138672\n",
      "14, \t67715.06471559673, \t-3.2953736782073975, \t-8.887689590454102\n",
      "15, \t61145.25006476208, \t-3.0487873554229736, \t-8.882830619812012\n",
      "16, \t55213.989871143756, \t-2.814490795135498, \t-8.878212928771973\n",
      "17, \t49859.21857008956, \t-2.591871500015259, \t-8.873825073242188\n",
      "18, \t45024.90493642119, \t-2.38034725189209, \t-8.869654655456543\n",
      "19, \t40660.45803150268, \t-2.179365396499634, \t-8.865692138671875\n",
      "20, \t36720.21613330738, \t-1.9884003400802612, \t-8.861926078796387\n",
      "21, \t33162.94497491503, \t-1.806952953338623, \t-8.858346939086914\n",
      "22, \t29951.423676734226, \t-1.6345487833023071, \t-8.85494613647461\n",
      "23, \t27052.04563507312, \t-1.4707372188568115, \t-8.851714134216309\n",
      "24, \t24434.47346618356, \t-1.3150899410247803, \t-8.848642349243164\n",
      "25, \t22071.315909114182, \t-1.167199969291687, \t-8.845723152160645\n",
      "26, \t19937.844183677655, \t-1.026680827140808, \t-8.842948913574219\n",
      "27, \t18011.736009058346, \t-0.893165111541748, \t-8.840312004089355\n",
      "28, \t16272.8359395372, \t-0.7663037180900574, \t-8.83780574798584\n",
      "29, \t14702.947628799533, \t-0.6457650661468506, \t-8.835424423217773\n",
      "30, \t13285.644989417451, \t-0.5312340259552002, \t-8.833160400390625\n",
      "31, \t12006.09703410402, \t-0.42241114377975464, \t-8.831008911132812\n",
      "32, \t10850.914531704439, \t-0.319011926651001, \t-8.828964233398438\n",
      "33, \t9808.009766043331, \t-0.2207660973072052, \t-8.827020645141602\n",
      "34, \t8866.470180472084, \t-0.12741678953170776, \t-8.825173377990723\n",
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      "36, \t7249.0349904819905, \t0.04555622488260269, \t-8.821748733520508\n",
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      "970, \t120.87103171711583, \t1.652010202407837, \t-8.778541564941406\n",
      "971, \t120.87101601931869, \t1.6520099639892578, \t-8.778529167175293\n",
      "972, \t120.87100032153332, \t1.6520097255706787, \t-8.77851676940918\n",
      "973, \t120.87098462375965, \t1.6520094871520996, \t-8.778504371643066\n",
      "974, \t120.87096892599773, \t1.6520092487335205, \t-8.778491973876953\n",
      "975, \t120.87095322824759, \t1.6520090103149414, \t-8.77847957611084\n",
      "976, \t120.87093753050914, \t1.6520087718963623, \t-8.778467178344727\n",
      "977, \t120.8709218327825, \t1.6520085334777832, \t-8.778454780578613\n",
      "978, \t120.87090613506754, \t1.6520081758499146, \t-8.7784423828125\n",
      "979, \t120.870890433841, \t1.6520079374313354, \t-8.778429985046387\n",
      "980, \t120.87087473614639, \t1.6520076990127563, \t-8.778417587280273\n",
      "981, \t120.8708590384636, \t1.6520074605941772, \t-8.77840518951416\n",
      "982, \t120.87084334079249, \t1.6520072221755981, \t-8.778392791748047\n",
      "983, \t120.87082764313318, \t1.652006983757019, \t-8.778380393981934\n",
      "984, \t120.8708119454856, \t1.65200674533844, \t-8.77836799621582\n",
      "985, \t120.87079624784975, \t1.6520065069198608, \t-8.778355598449707\n",
      "986, \t120.87078055022565, \t1.6520062685012817, \t-8.778343200683594\n",
      "987, \t120.87076485261328, \t1.6520060300827026, \t-8.77833080291748\n",
      "988, \t120.87074915501267, \t1.6520057916641235, \t-8.778318405151367\n",
      "989, \t120.87073345742381, \t1.6520055532455444, \t-8.778306007385254\n",
      "990, \t120.87071775984667, \t1.6520053148269653, \t-8.77829360961914\n",
      "991, \t120.87070206228128, \t1.6520050764083862, \t-8.778281211853027\n",
      "992, \t120.87068636472765, \t1.6520048379898071, \t-8.778268814086914\n",
      "993, \t120.87067066718573, \t1.652004599571228, \t-8.7782564163208\n",
      "994, \t120.87065496965559, \t1.652004361152649, \t-8.778244018554688\n",
      "995, \t120.87063927213715, \t1.6520041227340698, \t-8.778231620788574\n",
      "996, \t120.8706235746305, \t1.6520038843154907, \t-8.778219223022461\n",
      "997, \t120.87060787713557, \t1.6520036458969116, \t-8.778206825256348\n",
      "998, \t120.87059217965239, \t1.6520034074783325, \t-8.778194427490234\n",
      "999, \t120.87057648218095, \t1.6520031690597534, \t-8.778182029724121\n"
     ]
    }
   ],
   "source": [
    "# defining the function for forward pass for prediction\n",
    "def forward(x):\n",
    "    return w * x + b\n",
    " \n",
    "# evaluating data points with Mean Square Error.\n",
    "def criterion(y_pred, y):\n",
    "    return torch.mean((y_pred - y) ** 2)\n",
    " \n",
    "w = torch.tensor(-9.0, requires_grad=True)\n",
    "b = torch.tensor(-9.0, requires_grad=True)\n",
    "\n",
    "loss_list = []\n",
    "\n",
    "alpha = 0.00001\n",
    "iters = 1000\n",
    " \n",
    "for i in range (iters):    \n",
    "    # making predictions with forward pass\n",
    "    Y_pred = forward(X)\n",
    "    # calculating the loss between original and predicted data points\n",
    "    loss = criterion(Y_pred, Y)\n",
    "    # storing the calculated loss in a list\n",
    "    loss_list.append(loss.item())\n",
    "    # backward pass for computing the gradients of the loss w.r.t to learnable parameters\n",
    "    loss.backward()\n",
    "    \n",
    "    # updateing the parameters after each iteration\n",
    "    w.data = w.data - alpha * w.grad.data\n",
    "    b.data = b.data - alpha * b.grad.data\n",
    "\n",
    "    # zeroing the gradients after updating the weights\n",
    "    w.grad.data.zero_()\n",
    "    b.grad.data.zero_()\n",
    "    \n",
    "    \n",
    "    # priting the values for understanding\n",
    "    print('{}, \\t{}, \\t{}, \\t{}'.format(i, loss.item(), w.item(), b.item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "7c0d8a0fbc9af2e480db00541919ac58",
     "grade": true,
     "grade_id": "cell-8e61131759dd57fe",
     "locked": true,
     "points": 5,
     "schema_version": 3,
     "solution": false,
     "task": false
    }
   },
   "outputs": [],
   "source": [
    "assert w.item() > 1 and  w.item() < 2\n",
    "assert b.item() < 0\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 绘制学习曲线，如果代码正确，应该得到这样的曲线形态。即代价函数（MSE）随着迭代次数先迅速下降，然后趋于平稳"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "3427b78d7a5209d861a95f4cd1dc4daa",
     "grade": false,
     "grade_id": "cell-5fe2cc04d15e90c1",
     "locked": true,
     "schema_version": 3,
     "solution": false,
     "task": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The final model:  Y =  1.6520031690597534 X+ -8.778182029724121\n"
     ]
    }
   ],
   "source": [
    "# Plotting the loss after each iteration\n",
    "plt.plot(loss_list, 'r')\n",
    "plt.tight_layout()\n",
    "plt.grid('True', color='y')\n",
    "plt.xlabel(\"Epochs/Iterations\")\n",
    "plt.ylabel(\"Loss\")\n",
    "plt.show()\n",
    "\n",
    "print('The final model: ', 'Y = ', w.item() ,'X+', b.item()) "
   ]
  },
  {
   "attachments": {
    "f121cee6-422f-4fbc-8f7e-d1f29ef3a263.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 绘制散点图，要求同时呈现真实值和预测值，如果你的实现正确，图应该如下：  \n",
    "\n",
    "![image.png](attachment:f121cee6-422f-4fbc-8f7e-d1f29ef3a263.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "deletable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "e34b69d65696d9a95b31d76e634c863c",
     "grade": false,
     "grade_id": "cell-b7a715efe4289098",
     "locked": false,
     "schema_version": 3,
     "solution": true,
     "task": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "\n",
    "plt.plot(X.numpy(), Y.numpy(), 'b+', label='true')\n",
    "plt.plot(X.numpy(),w.item()*X.numpy()+b.item(),'r+', label='pre')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.grid('True', color='y')\n",
    "\n",
    "plt.show()\n",
    "plt.savefig('fig.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "cell_type": "code",
     "checksum": "fb3b9ad2cebefba398a1a904a54d0572",
     "grade": true,
     "grade_id": "cell-4dad5a6bb759ebd6",
     "locked": true,
     "points": 3,
     "schema_version": 3,
     "solution": false,
     "task": false
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "assert os.path.isfile('fig.png')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "bigdatabasic",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
